*2.1. Prandtl–Eyring Fluid Stress Tensor*

Prandtl–Eyring fluid stress tensor can be expressed as follows (Qureshi [29]),

$$\tau = \frac{A\_p \cdot \text{Sin}^{-1} \left\{ \frac{1}{\text{C}} \left[ \left( \frac{\partial G\_1}{\partial y} \right)^2 + \left( \frac{\partial G\_2}{\partial x} \right)^2 \right]^{\frac{1}{2}} \right\}}{\left[ \left( \frac{\partial G\_1}{\partial y} \right)^2 + \left( \frac{\partial G\_2}{\partial x} \right)^2 \right]^{\frac{1}{2}}} \left( \frac{\partial G\_1}{\partial y} \right) . \tag{2}$$

Here, τ signify extra stress tensor and ← *G* = [*<sup>G</sup>*1(*<sup>x</sup>*, *y*, <sup>0</sup>), *<sup>G</sup>*2(*<sup>x</sup>*, *y*, <sup>0</sup>), 0] indicates the flow velocity vector. *Aw* and *C* are fluid parameters. The complete derivation of this specific stress tensor and velocity field can found in Becker [30].
